ORP/SID 72-3

 REFERENCE DATA for

     RADIOFREQUENCY

     EMISSION HAZARD

         ANALYSIS
  I
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                        CD
ENVIRONMENTAL PROTECTION AGENCY


  Office of Radiation Programs

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REFERENCE DATA FOR RADIOFREQUENCY EMISSION

              HAZARD ANALYSIS
              Richard A.  Tell

 Electromagnetic Radiation Analysis Branch
   Surveillance and Inspection Division
                 June 1972
   U.S.  ENVIRONMENTAL PROTECTION AGENCY
       Office of Radiation Programs
          Washington, D.C.  20460

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                            FOREWORD





     Since the first commercial radio station began broadcasting



in 1921, the number of radio and television broadcasting stations




in this country has increased dramatically and now exceeds 6,400.



The electromagnetic energy transmitted by these installations as



well as that associated with civilian and government microwave and




radar devices has become of concern because of possible health



effects.  Furthermore, most broadcast stations are located near



large population concentrations, and in fact direct their emissions



at the population.



     The evaluation of the possible health hazards to a population



in a particular location involves many variables and requires data



from a number of sources.  This document illustrates the methods



employed in calculating power density and other values closely



associated with environmental radiation from radiofrequency



emitters and possible health effects.   Graphs and tables of



pertinent data used in the calculations are included.



     Additional information concerned with irradiation and the



biological factors associated with health effects are  sought on a



continuing basis.  The comments of individuals interested in this



or allied aspects of radiation protection of man and his environ-



ment are solicited.

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                        ACKNOWLEDGEMENTS






     The author extends his appreciation to those individuals




who played a part in producing this report:  Dr.  Claude Weil and




Mr. Joseph Ali for their review and technical suggestions,




Mr. Ernest Bucci for his preparation of photographs, Mr. Donald




Hodge and Mrs. Angie High for their assistance in editing and




assembly of the report, and finally Mrs. Patricia Nash for her




excellence in patience and typing.
                               11

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                            CONTENTS
Foreword	    i




Acknowledgements	   ii




Introduction	    1




Description of Data	    2




Examples	    8




Tables and Graphs	   11




Miscellaneous Data	   23




Glossary	   25




References	   28

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                          INTRODUCTION






     Recent attention has been directed toward the environmental



impact of nonionizing electromagnetic radiation, particularly the




relationship between environmental exposure levels and possible




health implications.  Although the current status of biological



effects research precludes any specific conclusions about what



levels and frequencies of radiofrequency energy are definitely



hazardous, certain general guidelines for exposure have been



established.



     Theoretical evaluation of exposure levels in the vicinity



of various radiofrequency emitting devices must incorporate the



effects of many variables.  These variables include source



parameters, geographical factors, and atmospheric effects;



propagation models utilizing this information are often complex



and are difficult to use for rapid estimation applications.  The



purpose of this report is to provide, in a single source, a



collection of information which is helpful in the practical



evaluation of environmental radiofrequency exposure levels from



these emitters.  For the most part, this information is in the



form of graphs and tables indicating the relationship between



selected parameters.  Included is a glossary of commonly used




terms..  Two examples of mathematical solutions illustrate the



data's applicability to hazard analysis.

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                      DESCRIPTION OF DATA






TABLE 1




     Table 1 provides a perspective to the radiofrequency  (RF)




hazards analysis area and illustrates various radiation protection




guides in use throughout the world.






TABLE 2




     Table 2 gives commonly used frequency band  designations  as




adapted from the Radio Regulations of the International Tele-




communications Union, Article 2, Section 11, Geneva;  1959.




Reference (1).






TABLE 3




     Power and voltage ratios are conveniently expressed in




decibels  (dB) .  The expressions relating power and voltage  ratios




and  dB are:




                   dB = 10 log^o (Power ratio)




                   dB = 20 Iog10 (Voltage ratio)




Table 3 allows conversion of dB to power or voltage ratios, both




greater and less than unity.






TABLE 4




     Table 4 gives the general letter designations for the




various microwave frequency bands within the range 225 MHz  to




56 GHz.   Reference (1).

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GRAPH 1

     For plane electromagnetic waves in free space, the electric


field strength E is related to power density PD by the relation-


ship


                    PD = E_  =  § _ , where
                         Z0     377


E is expressed in terms of volts per meter; ZQ is the intrinsic


impedance of vacuum which is 377 ohms; and PD, the power density,


is in units of watts per square meter.


     If field strength is specified in volts per meter and the

                                          ry
power density is desired in units of mW/cmz , the relation is


simply


                      PD (mW/cm2) =
The right-hand scale of Graph 1 provides the connection between


expressing power density in mW/cm2 and dBm/cm2.   Here 0 dBm is

equal to 1 mW.



GRAPH 2

     Graph 2 relates effective radiated power (ERP) ,  distance


from the source, and the equivalent free space power  density for


several selected levels.  In this case, the term free space


refers to the fact that the computed values of power  density were


obtained under the assumption that no reflecting surfaces, such


as the ground, caused other than the directly radiated wave


to impinge at the calculation point.  Furthermore,  the medium of

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propagation offered no attenuation to the radiated waves.  The


ERP is computed on the basis of transmitter output power, power


fed to the transmitting antenna, and antenna power gain G


according to the relation.


                       ERP = GPt, where


G is the power gain expressed as a factor (e.g. , a 12 dB power


gain antenna will enter as a factor of 15.85 as taken from


Table 3) and P-j- is the transmitter output power.  The units of


the calculated ERP will be in the same units as used for P.J-


(watts, kW, etc.) .


     From this value for ERP, the field density PD is arrived


at from
                      PD =   ERP ? , where
                           4 IT Rz


R represents the distance from the source.


     Another useful formula is that for field strength in volts
per meter:  Field strength  (V/m) =  \30 ERP, where ERP is
                                       R
expressed in watts at the desired radiation angle and R is the


distance in meters.



GRAPH 3


     Graph 3 indicates the  variation in field strength with


distance for a maximum power  50 kW AM broadcast station.  Both


frequency of emission and ground conductivity affect the ground


level field strength from the source.  Two curves are given to

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indicate the range in possible levels caused by variations in




these two parameters.  It has been assumed that the transmitting




antenna is a single monopole radiator with an optimum height of




5/8 wavelength.  These data are condensed from FCC information




(2).






GRAPH 4




     The radiated field strength from a vertical monopole




radiator is a function of the current distribution on the




radiator as well as the ground conductivity at the base of the




tower and over the path of radiation to the reception point.




This graph indicates the field strength of towers of various




electrical heights for sinusoidal current distributions and high




conductivity grounds.  The optimum tower height is seen to be




0.625 \.  These data are condensed from the FCC Rules and




Regulations (2) .






GRAPH 5




     Most television and FM broadcast stations employ trans-




mitting antennas which exhibit gain in vertical planes.   This




means that the radiation field is restricted to some small




vertical angle of emission; i.e., rather than radiating at useless,




high vertical angles, the beam is flattened to propagate most




of the energy in a narrow beam which is usually aimed at the




horizon or some slightly lower angle.  The radiation character-

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 istics of the antenna are usually uniform in the horizontal




plane, i.e., it radiates equally in all azimuthal directions.




The primary power gain of such antennas is thus obtained in the




vertical plane.  This contrasts with vertical radiators, such



as AM broadcast stations, in which horizontal directionality is



sometimes desired and obtained by strategically placing a number



of towers in a phased array.



     Graph 5 illustrates the vertical gain pattern of a typical



medium gain UHF TV transmitting antenna.  Here, the ordinate is



expressed as the relative field strength.  Thus, for any parti-



cular depression angle, the field strength may be determined in



relation to whatever the main beam field strength would be at



the same distance from the tower.  Ground level field strengths



may thus be easily computed if the ERP in the main beam is known.






GRAPH 6
     This graph related antenna depression angle to distance



from the antenna for various antenna tower heights.  Generally,



broadcasting antennas for FM and television service are



directive in the vertical plane; i.e., the antenna concentrates



the power at some specific angle with respect to the horizontal



plane.  This means that the radiation intensity varies as a



function of height above ground, for a given ground distance



to the  tower.  The depression angle is defined as that angle



below the horizontal plane at the antenna's height defined by

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a line drawn from the reception point on the earth's  surface  to




the antenna.  As the surface distance from the tower  to  the




observation point decreases, the depression angle  increases.



This angle is used in evaluating the field strength of such an



antenna at ground level, or any other level, which is not  in  the



main beam of the antenna.  A vertical gain pattern for the spe-



cific antenna is required in order that the appropriate power



gain at the particular depression angle of interest may be used



to compute the exposure level.






GRAPH 7



     In a radar transmitter, the ratio of the average power to



the peak power is called the duty factor, or
Duty factor =
                                = p
                                  P peak




Also, the duty factor is equal to the product of the pulse width




and pulse repetition frequency (PRF) .  Various combinations of




these radar parameters are given.  Information from reference




(1).






GRAPH 8




     This graph allows estimation of the antenna power gain for




parabolic dish-type radar and microwave antennas when the dish




diameter is known.  The right-hand scale yields the half -power




beam width for the antenna.  Information from reference (1) .

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                            EXAMPLES

EXAMPLE 1
Given:
     A UHF TV station operates with a transmitter power  output
of +83 dBm into a medium gain antenna with a maximum power gain
of 14 dB atop a 700 ft. tower.  Find the ground level field
strength and power density over flat terrain at a distance of
5.2 miles from the tower.  Use the vertical gain antenna pattern
of Graph 5*for this problem.
  1.  First find the output power in kW.
      +83 dBm = 80 dBm + 3 dBm = (10^)  (2)mW = 2 x 105 W =
      2 x 102 kW                           Output Power = 200 kW
      dB's are additive; however, the power ratios are multipli-
      cative as shown because of the logarithmic nature  of the dB.
  2.  Next, the maximum effective radiated power is computed as

      ERPmax = Pout * Gmax = 20° kw * 25'12 = 5'024 ™
      The gain of 14 dB is expressed as a power ratio of 25.12.
  3.  Next, the depression angle is determined from Graph 6 as
      1.5° for the 700 ft. tower and ground distance of
      5.2 miles.
  4.  The field strength is now computed for the main beam of
      the transmitting antenna at a distance of 5.2 miles as

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      Field Strength
=>/30 Pt
                         R (meters)   (5.2 miles)  (1609 m/mile)


      = 1.467 volts/meter


  5.  Finally, the effective field strength at ground level is


      found by multiplying the main beam field strength as


      computed in 3 above by the relative field factor found


      from Graph 5 at a depression angle of 1.5°.


      Ground level field strength = 1.467 V/m x 0.675 = 0.990 V/m.


      This is equivalent, from Graph 1, to 2.60 x 10 ~4 mW/cm2.



EXAMPLE 2
Given:


     A radar facility, utilizing a parabolic dish antenna


approximately 4 ft. in diameter, has a peak transmitter output


power of 2 MW.  Assuming a PRF of 200 pulses per second and a


pulse width of 5 |j.sec. , find what target distance in the main


beam of the radar antenna is associated with an average field

                  O
density of 1 mW/cm , if the radar operates at 10 GHz.


  1.  From Graph 7 it is apparent that, for the above parameters,


      a duty factor of .001 exists for the system and, consequent-


      ly, the average output power to the antenna is 2 kW.


  2.  Now, from Graph 8, it is determined that the parabolic


      dish exhibits a gain of 40 dB or a power factor of 104.


  3.  The average effective radiated power is now computed as


      ERP    = PtG = (2 x 103) (104)  W = 2 x 107 W = 2 x 104 kW

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10
  4.  Finally, from Graph 2, it is seen that for an ERP of


            /                                         2
      2 x 10^ kW, an average power density of 1 mW/cm  will



      occur at 0.25 mile from the source, this being in the main



      beam of the transmitting antenna.

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                                                                              11
Country and
Source
Radiation
Frequency
Maximum
Recommended
Level
Condition or Remarks
USA (USASI)
US Army.and
Air Force
Great Britain
(Post Office
 Regulation)

NATO (1956)

Canada
Poland
German Soc.
Republic

U.S.S.R.
 10 MHz to 100 GHz
 30 MHz to 30 GHz
 10 MHz to 100 GHz
   300 MHz
Czech. Soc.  Rep.
0.1 to 1.5 MHz

1.5 to 30 MHz
30 to 300 MHz
      300 MHz
0.01 to 300 MHz
        300 MHz
 10 mW/cm
1 mW hr/cm
                        10  mW/cm2
Periods of 0.1 hr.
Averaged over any
  0.1 hr. period

Continuous exposure
                     10  to 100 mW/cm    Maximum exposure
                                         time in minutes at
                                         W(mW/cm2) = 6000W2
                                       No occupancy
 100 mW/cm2

 10 mW/cm2



 0.5 mW/cm2

1 mW hr/cm1

 10 mW/cm2

 10 nW/cm2
100 nW/cm2
  1 mW/cm2

 10 mW/cm2
   20 V/m
  5 amp/m
   20 V/m
    5 V/m
 10 nW/cm2
100 nW/cm2
  1 mW/cm2

   10 V/m
 25 nW/cm2
 10 |iW/cm2
Continuous 8-hr.
  exposure, average
  power density
Averaged over any
  0.1 hr, period
Periods of 0.1 hr.

8 hr. exposure/day
2 to 3 hr/day
15 to 20 min/day
Alternating magnetic
  fields
6 hr/day
2 hr/day
15 min/day

8 hr/day
8 hr/day, CW operation
8 hr/day, pulsed (for
  shorter exposures
  see Figures 11 and
  12)
    TABLE  1.  MAXIMUM RECOMMENDED LEVELS  FOR  HUMAN EXPOSURE

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12
                             TABLE 2

                   FREQUENCY BAND NOMENCLATURE
  Frequency Range
                   Atlantic City
               Frequency Subdivision
    3 -     30 kHz

   30 -    300 kHz

  300 -  3,000 kHz

3,000 - 30,000 Khz

   30 -    300 MHz

  300 -  3,000 MHz

3,000 - 30,000 MHz

   30 -    300 GHz

  300 -  3,000 GHz
VLF

 LF

 MF

 HF

VHF

UHF

SHF

EHF
Very-low frequency

Low frequency

Medium frequency

High frequency

Very-high frequency

Ultra-high frequency

Super-high frequency

Extremely-high frequency

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                                                              13
VOLTAGE
RATIO
I.POOO
.9988
.9977
.9964
.9954
.9943
.9931
.9920
.9908
.9897
.9886
.9772
.9661
.9550
.9441
.9333
.9226
.9120
.9016
.8913
.8810
.8710
.6610
.8511
.6414
.8318
.8222
.6128
.6035
.7943
.7852
.7762
.7674
.7586
.7499
.7413
.7328
.7244
.7141
.7079
.6998.
.6918
.6839
. .6761
.6683
.6607
.6531
.6457
.6383
.6310
.6237
.6166
.6095
.6026
.5957
.5888
.5621
.5754
.5689
.5623
.5559
.5495
.5433
.5370
.5309
.5248
.5188
POWER
RATIO
1.0000
.9777
.9954
.9931
.9908
.9886
.9863
.9840
.9817
.9795
.9772
.9550
.9333
.9120
.8913
.8710
.8511
.8318
.8128
.7943
.7762
.7566
.7413
.7244
.7079
.6918
.6761
.6607
.6457
.6310
.6166
.6026 '
.5668
.5754
.5623
.5495
.5370
.5248
.5129
.5012
.4898
.4786
.4677
.4571
.4467
.4365
.4266
.4169
.4074
.3961
.3890
.3602
.3715
.3631
.3548
.3467
.3388
.3311
.3236
.3162
.SOW
.3020
.2951
.2864
.2818
.2754
.2672
dB
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.06
0.09
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.6
1.9
2.0
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
3.0
3.1
3.2
3.3
3.4
3.5
3.6
3.7
3.8
3.9
4.0
4.1
4.2
4.3
4.4
4.5
4.6
4.7
4.8
4.7
5.0
5.1
5.2
5.3
5.4
5.S
5.6
5.7
VOLTAGE
RATIO
.0000
.0012
.0023
.0035
.0046
.0058
.0069
.0081
.0093
.0104
.012
.023
.035
.047
.059
.072
.064
.096
.109
.122
.135
.148
.161
.175
.189
.202
.216
.230
.245
.259
.274
.268
.303
.318
.334
.349
.365
.360
.396
.413
.429
.445
.462
.479
.496
.514
.531
.549
567
585
.603
622
641
660
679
698
718
738
758
778
7?9
820
841
862
884
.905
928
POWER
RATIO
.0000
.0023
.0046
.0069
.0093
.0116
.0139
.0162
.0186
.0209
.023
.047
.072
.096
.122
.148
.175
.202
.230
.259
.268
.318
.349
.380
.413
.445
.479
.514
.549
:585
.622
.660
.698
.738
.778
.820
.862
.905
.950
.995
2.042
2.089
2.138
2.188
2.239
2.291
2.344
2.399
2.455
2.512
2.570
2.630
2.692
2.754
2.818
2.864
2.951
3.020
3.090
3.162
3.236
3.311
3.388
3.467
3.548
3.631
3.715
VOLTAGE
RATIO
.5129
.5070
.5012
.4955
.4898
.4842
.4786
.4732
.4677
.4624
.4571
.4519
.4467
.4416
.4365
.4315
.4266
.4217
.4169
.4121
.4074
.4027
.3981
.3936
.3890
.3846
.3802
.3758
.3715
.3673
.3631
.3589
.3548
.3506
.3467
.3426
.3388
.3350
.3311
.3273
.3236
.3199
.3162
.2985
.2818
.2661
.2512
.2371
.2239
.2113
.1995
.1884
.1778
.1585
.1413
.1259
.1122
.1000
.03162
.01 . .
.003162
.001
.0003162
.0001
.00003162
10-'

POWER
RATIO
.2630
.2570
.2512
.2455
.2399
.2344
.2291
.2239
.2188
.2138
.2069
.2042
.1995
.1950
.1905
.1862
.1820
.1778
.1738
.1698
.1660
.1622
.1565
.1549
.1514
.1479
.1445
.1413
.1360
.1349
.1318
.1268
.1259
.1230
.1202
.1175
.1148
.1122
.1096
.1072
.1047
.1023
.1000
.08913
.07943
.07079
.06310
.05623
.05012
.04467
.03981
.03548
.03162
.02512
.01995
.01585
.01259
.01000
.00100
.00010
.00001
io-«
io-»
10"
10"
io-"

dB
5.8
5.9
.0
.1
.2
.3
.4
.5
6.6
6.7
6.8
6.9
7.0
7.1
7.2
7.3
7.4
7.5
7.6
7.7
7.8
7.9
8.0
8.1
8.2
8.3
8.4
8.5
8.6
8.7
8.6
8.9
9.0
9.1
9.2
9.3
9.4
9.5
9.6
9.7
9.8
9.9
10.0
10.5
11.0
11.5
12.0
12.5
13.0
13.5
14.0
14.5
15.0
16.0
17.0
18.0
19.0
20.0
30.0
40.0
50.0
60.0
70.0
80.0
90.0
00.0

VOLTAG
RATIO
1.950
1.972
1.995
2.018
2.042
2.065
2.089
2.113
2.138
2.163
2.168
2.213
2.239
2.265
2.291
2.317
2.344
2.371
2.399
2.427
2.455
2.483
2.512
2.541
2.570
2.600
2.630
2.661
2.692
2.723
2.754
2.786
2.818
2.851
2.884
2.917
2.951
2.985
3.020
. 3.055
3.090
3.126
3.162
3.350
3.548
3.758
3.981
4.217
4.467
4.732
5.012
5.309
5.623
6.310
7.079
7.943
8.913
10.000
31.620
100.00
316.20
1,000.00
3,162.00
0,000.00
1,620.00
IO1

POWER
RATIO
3.802
3.890
3.931
4.074
4.169
4.266
4.365
4.467
4.571
4.677
4.786
4.898
5.012
5.129
5.248
5.370
5.495
5.623
5.754
5.888
6.026
6.166
6.310
6.457
6.607
6.761
6.918
7.079
7.244
7.413
7.586
7.762
7.943
8.128
8.318
8.511
8.710
8.913
9.120
9.333
9.550
9.772
10.000
11.22
12.59
14.13
15.85
17.78
19.95
22.39
25.12
28.18
31.62
39.81
50.12
63.10
79.43
100.00
1,000.00
0,000.00
10*
I0«
10'
10«
10«
10"

                TABLE 3.   dB CONVERSION CHART
REPRODUCED BY PERMISSION OF PACIFIC MEASUREMENTS INCORPORATED,
                     PALO ALTO,  CALIFORNIA

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14
                             TABLE 4




                  MICROWAVE BAND DESIGNATIONS
   Letter Designation of Band




                P




                L




                S




                C




                X




                J




                K




                Q



                V
Frequency Range (GHz)




     .225 -   .390




     .390 -  1.55




    1.55  -  3.90




    3.90  -  6.20




    6.20  - 10.90




   10.90  - 17.25




   17.25  - 33.00




   33.00  - 46.00




   46.00  - 56.00

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               FIELD  STRENGTH AND POWER DENSITY IN FREE  SPACE
                                   10"        10'



                          POWER  DENSITY  , ( mW/em2 )






GRAPH 1.   FIELD STRENGTH AND  POWER DENSITY IN FREE SPACE

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16
                                                          2	3 4 567891
   0-01
                0.1            1.0           10.0

                        MILES FROM SOURCE
                                                    100.
    GRAPH 2.  DISTANCE REQUIRED TO ESTABLISH VARIOUS  POWER
                 DENSITIES AS A FUNCTION OF ERP

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                                                              17
         EARTH DIELECTRIC CONSTANT = 15
 .00003
                    1              10
                    DISTANCE FROM ANTENNA (MILES)
100   200
GRAPH 3.   GROUND WAVE FIELD STRENGTH FOR  50 kW
              AM BROADCAST STATION

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18
    270

_  260


1  250
00
oS
|  240

1  230
LU
=!  220

1  210
0

<  200

S|  190
LU


I  18°
3  "0
U_
    160

    150


    140


    130

0.0      0.1      0.2      0.3       0.4       0.5

                ANTENNA HEIGHT IN WAVELENGTH
                                                           0.6
0.7
         GRAPH  4.   EFFECTIVE FIELD AT ONE MILE  FOR SINGLE
                  OMNIDIRECTIONAL MONOPOLE ANTENNA

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     Medium Gain UHF Antenna Vertical Pattern
                                                          19
  0 "•
                                   0.5" ELECTRICAL
                                     BEAM TILT
                                    MAJOR LOBE
                                  POWER GAIN-24.0
                                   HOR.GAIN-20.3
   5   4   3   Z   101   23436789

       AB°VE  DEGREES FROM HORIZONTAL PLANE      8EL°*
GRAPH 5.   MEDIUM GAIN UHF ANTENNA VERTICAL PATTERN
     COURTESY RCA CORPORATION, COMMUNICATIONS
       SYSTEMS DIVISION,  CAMDEN, NEW JERSEY

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20
  100°
   O.I
    0.1
                                MILES
          GRAPH  6.   DEPRESSION ANGLE VERSUS DISTANCE
                    FOR VARIOUS TOWER HEIGHTS

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                                                            21
                     PEAK  POWER  (kW)
                                                        1000
10
  1000  500         100   50          10    5
            PULSE REPETITION  FREQUENCY  (HZ)
     GRAPH 7.  RELATIONSHIP  OF VARIOUS  RADAR PARAMETERS

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22
     60
         POWER  GAIN AND  ANTENNA  SIZE
                                                       .2
                                                       .5
                                                          o
                                                          "H
                                                       5  I
10



20
   *




50



100
                                                          A
                                                          A
        PARABOLIC  REFLECTOR  DIAMETER   (ft)
        GRAPH 8.  PARABOLIC ANTENNA POWER GAIN AND SIZE

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                                                                23
                       MISCELLANEOUS DATA

     Basal Metabolic Rates for humans expressed on the basis  of

body surface area:  (Reference 3)

                20 year old male      4.62 mW/cm2

                20 year old female    4.10 mW/cm2
                                                P
                30 year old male      4.37 mW/cm
                                                r\
                30 year old female    4.06 mW/cm
                                                o
                60 year old male      4.13 mW/cm

                60 year old female    3.89 mW/cm2

     Body weight, height, and surface area for 20-24 year old

males.  Reference 4.

                    Body weight      71.8 kg

                    Height          174.5 cm
                                            2
                    Surface area      1.83 m

     FCC requires minimum field strength at one mile for 1 kW

power (Class I AM broadcast stations):   0.225 volts/meter

(Reference 2)

     Grade A television reception in UHF band - minimum field

strength:  0.005 volts/meter                    (Reference 2)

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24
     Formula for calculating the distance to the far field


from an antenna:

                                        2
                 Far-field distance = =^—  where
                                       X


     D = maximum dimension of antenna


     X = wavelength of frequency in same units as D


The far field is arbitrarily defined as that point at which the


impinging electromagnetic waves fronts exhibit no more than


22.5 degrees phase difference, i.e., they are essentially plane


waves.  It is also defined as that point at which the detected


field intensity varies strictly as the inverse square of the


distance.  Thus, the beginning of the far field is not a


precise distance from the transmitting antenna.  The above


equation computes this approximate distance.

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                                                                25
                   GLOSSARY OF COMMON TERMS
Average Power - the time average effective power; i.e., that
     power which if converted to heat would produce the same
     amount of heat as some greater peak-pulsed power.

Beam Width - usually assumed to be that angle which defines the
     extent of beam divergence for an antenna, at which the
     radiated intensity is one-half of, or 3 dB below, the
     on-axis maximum radiated intensity, for a fixed distance
     from the antenna.

CW - strictly, continuous wave emission in which the radiated
     power is nonvarying in time.  In practice, all signals
     which are not pulsed with very short pulse widths, i.e.,
     radars.

dB - a ratio measure.  For relationship of dB to voltage and
     power ratios, see text.

dBk - a measure of power ratio, referenced to 1 kW.

dBm - a measure of power ratio, referenced to 1 mW.

dB(j.V - a measure of voltage ratio, referenced to 1 M.V.

Depression Angle - that angle below the horizontal plane at
     the antenna's height defined by a line drawn from the
     reception point on the earth's surface to the antenna.

Directive Array (DA)  - any form of a system of radiating
     elements which when operated together, give a directional
     characteristic to the emitted wave.  For example, some
     AM broadcast stations use more than one monopole to create
     a directive property to their signal, rather than radiating
     equally in all directions about the antenna.

Duty Factor - in a radar transmitter, the ratio of average power
     to peak pulse power.  Also, the product of the  pulse
     repetition frequency and the pulse width.
           •                     »
ERP - effective radiated power equal to the product of trans-
     mitter output power and antenna power gain.

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26
Field Strength - a measure of radiation intensity In units of
     volts per meter.  Normally used at lower frequencies, i.e.,
     below 1,000 MHz.

Free Space - a space devoid of reflecting and attenuating prop-
     erties and objects.

Gain, Antenna Power - a measure of the ability of an antenna to
     enhance radiation intensity in a particular direction with
     respect to an isotropic, omnidirectional radiator.  Usually
     specified in dB.

Ground Conductivity - a measure of the soil's electrical conduc-
     tive property, and therefore, its ability to reflect radio
     signals.  The higher the conductivity the more reflective
     it is.  Usually specified in mmhos/meter.

Input Power - usually refers to the final circuit electrical
     input power of a transmitter and is computed generally as
     the product of final amplifier stage current and voltage.
     This is always higher than the actual output power,
     according to the amplifier's efficiency.

Intrinsic Impedance - a measure of the wave interacting property
     of a medium.  Also called characteristic impedance.  For
     free space, 377 ohms.

mmho/meter - a measure of conductivity for a unit path length
     through a given material.  A mho is equal to a reciprocal
     ohm.

Monopole  - a single vertical type of radiating element, usually
     driven with respect to a series of buried radial conductors
     forming a ground plane antenna.

Peak Power - the maximum power in a single short duration pulse
     in any pulsed RF source.

PRF - pulse repetition frequency; i.e., the number of pulses
     occurring during one second.

Pulse Width - the time duration of a pulse usually measured in
     units of microseconds for radars.

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                                                               27
Relative Absorption Cross-Section - a measure of the absorption
     properties for an absorbing object; a dimensionless number
     determined as the ratio of the actual effective area for
     power absorption to the geometrical cross-sectional area;
     may be greater or less than unity.

Sector Scan - a scan by a radar antenna which Includes a
     fractional angular part of 360 degrees.  The antenna
     oscillates back and forth over the particular sector of
     interest rather than revolving continuously.

Skin Depth - that distance below the surface of a conductor
     where the current density has diminished to 1/e of its
     value at the surface.

Vertical Pattern - normally the gain pattern of an antenna In
     the vertical plane.   Most TV transmitting antennae employ
     some degree of vertical gain while maintaining omni-
     directional characteristics in the horizontal plane.

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28
                          REFERENCES
1.  Reference Data for  Radio Engineers.   Howard W.  Sams and Co.,
    Inc.  A subsidiary  of International Telephone and Telegraph
    Corp., ITT.  1969.

2.  FCC Rules and Regulations,  Volume 3, Washington, B.C.

3.  Handbook of Biological Data.   October 1956.  Wright Air
    Development Center, Air Research, and Development Command,
    United States Air Force, Wright-Patterson Air Force Base,
    Ohio.

4.  Biology Data Book.  Federation of American Societies for
    Experimental Biology, Washington, D.C.  1964.
                                     fi U. S. GOVERNMENT PRINTING OFFICE : 1972—ll81t-V37 (336)

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